960642368 has 56 divisors (see below), whose sum is σ = 2186586432. Its totient is φ = 410194944.

The previous prime is 960642367. The next prime is 960642407. The reversal of 960642368 is 863246069.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960642367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122996 + ... + 130572.

Almost surely, 2^960642368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093293216).

960642368 is an abundant number, since it is smaller than the sum of its proper divisors (1225944064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

960642368 is a wasteful number, since it uses less digits than its factorization.

960642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 960642368 is about 30994.2312051775. The cubic root of 960642368 is about 986.7048106348.

The spelling of 960642368 in words is "nine hundred sixty million, six hundred forty-two thousand, three hundred sixty-eight".